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Finding the Third Proportional to 43,236 and 89,712

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Solution

The third proportional to 43,236 and 89,712 is: 186,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,236 : 89,712 = 89,712 : x
  2. Step 2: Convert to fraction form
    43,236/89,712 = 89,712/x
  3. Step 3: Cross multiply
    43,236x = 89,712 × 89,712
  4. Step 4: Simplify right side
    43,236x = 8,048,242,944
  5. Step 5: Solve for x
    x = 8,048,242,944/43,236
  6. Step 6: Final answer
    x = 186,146.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.